Finding the Third Proportional to 23,224 and 50,896
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Solution
The third proportional to 23,224 and 50,896 is: 111,539.91
Step by Step Solution
- Step 1: Write the proportion equation
23,224 : 50,896 = 50,896 : x - Step 2: Convert to fraction form
23,224/50,896 = 50,896/x - Step 3: Cross multiply
23,224x = 50,896 × 50,896 - Step 4: Simplify right side
23,224x = 2,590,402,816 - Step 5: Solve for x
x = 2,590,402,816/23,224 - Step 6: Final answer
x = 111,539.91
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.